Artificial intelligence technologies have the potential to greatly enhance the organization of learning management systems and online learning experiences. In particular, the public release of OpenAI's GPT-3 model in December 2022 has given society a chance to learn more about the current status of artificial intelligence. There have been much research on the use of artificial intelligence in e-learning processes, but very few of them demonstrate how to integrate these applications step-by-step and with examples into learning management systems. This study intends to close this gap by demonstrating how artificial intelligence technologies are integrated into learning management systems using real-world examples. This study provides examples of practical applications as well as integration steps. Finally, GPT-3 plugins for Moodle are examined and sample JavaScript code is included for integrating Chat GPT into Moodle. By presenting a useful guide for integrating artificial intelligence technology into learning management systems, this work adds to the body of literature.